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Question

The given graph is discontinuous at x=a because the limit doesn't exist at x=a


A

True

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B

False

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Solution

The correct option is A

True


This is one way of having discontinuity. i.e., to have a sudden break of graph at a point and the following curve starts at some other point. This is the case where left hand and right hand limits are different from each other.

i.e., Here,

L.H.L R.H.L

or
limxaf(x)limxa+f(x)
Hence , the given function is discontinuous


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